Abstract
Kaon production cross sections in nucleon-nucleon, nucleon-$\ensuremath{\Delta}$, and $\ensuremath{\Delta}$-$\ensuremath{\Delta}$ interactions are studied in a boson exchange model. For the latter two interactions, the exchanged pion can be on-mass shell; only contributions due to a virtual pion are included via the Peierls method by taking into account the finite $\ensuremath{\Delta}$ width. With these cross sections and also those for pion-baryon interactions, subthreshold kaon production from heavy-ion collisions is studied in the relativistic transport model.
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